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#1 2009-03-10 11:57:52
- LuisRodg
- Real Member
- Registered: 2007-10-23
- Posts: 322
Cauchy sequence proof
Im not following something in this proof. We have that:
Why is it that:
Help appreciated!
Last edited by LuisRodg (2009-03-10 11:58:44)
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#2 2009-03-10 12:06:37
- mathsyperson
- Moderator
- Registered: 2005-06-22
- Posts: 4,900
Re: Cauchy sequence proof
No, strictness goes away when you take limits.
Counterexample: b_n = 1-1/n.
All of the terms of this sequence are strictly less than 1, but the limit is equal to 1.
Why did the vector cross the road?
It wanted to be normal.
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